X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fjsx_rsx.ma;h=0137a4087c1f43e50d72c545cb0c2eac4aef9bd6;hb=57ae1762497a5f3ea75740e2908e04adb8642cc2;hp=dd874f6aa9560f76255c128b6dcde8e2f36c1ee2;hpb=ca7327c20c6031829fade8bb84a3a1bb66113f54;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/jsx_rsx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/jsx_rsx.ma index dd874f6aa..0137a4087 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/jsx_rsx.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/jsx_rsx.ma @@ -23,7 +23,7 @@ include "basic_2/rt_computation/jsx.ma". (* Basic_2A1: uses: lsx_cpx_trans_lcosx *) lemma rsx_cpx_trans_jsx (h) (G): ∀L0,T1,T2. ❪G,L0❫ ⊢ T1 ⬈[h] T2 → - ∀L. G ⊢ L0 ⊒[h] L → G ⊢ ⬈*[h,T1] 𝐒❪L❫ → G ⊢ ⬈*[h,T2] 𝐒❪L❫. + ∀L. G ⊢ L0 ⊒[h] L → G ⊢ ⬈*𝐒[h,T1] L → G ⊢ ⬈*𝐒[h,T2] L. #h #G #L0 #T1 #T2 #H @(cpx_ind … H) -G -L0 -T1 -T2 [ // | // @@ -65,12 +65,12 @@ qed-. (* Basic_2A1: uses: lsx_cpx_trans_O *) lemma rsx_cpx_trans (h) (G): ∀L,T1,T2. ❪G,L❫ ⊢ T1 ⬈[h] T2 → - G ⊢ ⬈*[h,T1] 𝐒❪L❫ → G ⊢ ⬈*[h,T2] 𝐒❪L❫. + G ⊢ ⬈*𝐒[h,T1] L → G ⊢ ⬈*𝐒[h,T2] L. /3 width=6 by rsx_cpx_trans_jsx, jsx_refl/ qed-. lemma rsx_cpxs_trans (h) (G): ∀L,T1,T2. ❪G,L❫ ⊢ T1 ⬈*[h] T2 → - G ⊢ ⬈*[h,T1] 𝐒❪L❫ → G ⊢ ⬈*[h,T2] 𝐒❪L❫. + G ⊢ ⬈*𝐒[h,T1] L → G ⊢ ⬈*𝐒[h,T2] L. #h #G #L #T1 #T2 #H @(cpxs_ind_dx ???????? H) -T1 // /3 width=3 by rsx_cpx_trans/